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A pattern-finding journey through a shimmering universe of large composite numbers, this book starts with a simple graph of divisors and expands it into a vast visual sea of interlocking patterns. Why do mathematicians keep asking if there is any meaning to the sequence of prime numbers? Just think of the primes as the negative spaces behind overlapping composite patterns. The chaotic sequence of primes that pass through the Sieve of Eratosthenes is far less interesting than the Sieve itself! Did you know that the numbers in the range of nine quintillion have a hidden pattern (nested parabolas, reflection rays, swirling proto-galaxies)? These images could not have been seen before the computer allowed us to peer into the dense fabric of numbers. This book will inspire math educators, visual thinkers, and pattern lovers.

Most Helpful Customer Reviews

Beautifully designed by an expert in visual communication, this book takes you on a thought-provoking exploration of recurrent patterns that make sense out of large numbers and their divisors. Using almost no algebra, the author pierces the veil of numerals and conventional notation (such as 24!) to reveal structures you have not seen before. The excitement of discovery is conveyed with appropriate enthusiasm. [No attempt is made to connect these insights to canonical theorems of number theory.] The author, a computer programmer, says he failed math in college, which is patently absurd. It was unimaginative pedagogy which failed to validate his style of visual thinking. Go to his website divisorplot dot com for an interactive java applet that will soon let you know whether this is your cup of tea.